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Finding the Third Proportional to 4,448,373 and 9,712,254.50

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Solution

The third proportional to 4,448,373 and 9,712,254.50 is: 21,205,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,373 : 9,712,254.50 = 9,712,254.50 : x
  2. Step 2: Convert to fraction form
    4,448,373/9,712,254.50 = 9,712,254.50/x
  3. Step 3: Cross multiply
    4,448,373x = 9,712,254.50 × 9,712,254.50
  4. Step 4: Simplify right side
    4,448,373x = 94,327,887,472,770.25
  5. Step 5: Solve for x
    x = 94,327,887,472,770.25/4,448,373
  6. Step 6: Final answer
    x = 21,205,031.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.